Arocket developed by an amateur was traveling upwards at a velocity given by v = (11 + 0.2s) m/s, where s is in meters. determine the time for the rocket to reach an altitude of s = 80 m. initially, s = 0 when t = 0. [hint: obtain initial velocity].

Time taken to reach 80 meters equals 4.4897 seconds.

Explanation:

We know that velocity is related to position as

Now it is given that

Using the given velocity function in the above relation we get

Now since the limits are given as

1) at t = 0 , s=0

Using the given limits we get

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